Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 8 - Section 8.1 - Complex Numbers - 8.1 Problem Set: 105

Answer

(b) $-i$

Work Step by Step

$i^{31}$ =$i^{30+1}$ =$i^{30}\times i$ =$(i^{2})^{15}\times i$ =$(-1)^{15}\times i$ =$-1\times i$ =$-i$
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